Study of Implicit Type Coupled System of Non-Integer Order Differential Equations With Antiperiodic Boundary Conditions
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Date
2019
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Publisher
Wiley
Open Access Color
Green Open Access
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Abstract
In this paper, the first purpose is to study existence and uniqueness of solutions to a system of implicit fractional differential equations (IFDEs) equipped with antiperiodic boundary conditions (BCs). To obtain the mentioned results, we use Schauder's and Banach fixed point theorem. The second purpose is discussing the Ulam-Hyers (UH) and generalized Ulam-Hyers (GUH) stabilities for the respective solutions. An example is provided to illustrate the established results.
Description
Shah, Kamal/0000-0002-8851-4844
ORCID
Keywords
Antiperiodic Boundary Conditions, Existence And Uniqueness Of Solutions, Green'S Function, Schauder'S Fixed Point Theorems, Ulam-Hyers Stability, existence and uniqueness of solutions, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, Green's functions for ordinary differential equations, Perturbations of ordinary differential equations, antiperiodic boundary conditions, Schauder's fixed point theorems, Fractional ordinary differential equations, Green's function, Ulam-Hyers stability
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Samina; Shah...et al. (2019). "Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions", Mathematical Methods in the Applied Sciences, Vol. 42, No. 6, pp. 2033-2042.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
12
Source
Mathematical Methods in the Applied Sciences
Volume
42
Issue
6
Start Page
2033
End Page
2042
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CrossRef : 12
Scopus : 21
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